STABILITY OF SHOCK PROFILES FOR NONCONVEX SCALAR VISCOUS CONSERVATION LAWS

DOI10.1142/S0218202595000188zbMath0830.35054MaRDI QIDQ4847346

Ming Mei

Publication date: 20 September 1995

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

decay rates of asymptoticsnonconvex scalar viscous conservation lawsstability of shock profiles

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Initial value problems for second-order parabolic equations (35K15)

Related Items (11)

Asymptotic stability of traveling waves for scalar viscous conservation laws with non-convex nonlinearity ⋮ Convergence to sharp traveling waves of solutions for Burgers-Fisher-KPP equations with degenerate diffusion ⋮ Viscous shock profile and singular limit for hyperbolic systems with Cattaneo's law ⋮ Convergence to traveling waves with decay rates for solutions of the initial boundary problem to a relaxation model ⋮ Long-time behaviour of solution for rosenau-burgers equation(II) ⋮ \(L^p\)-decay rates for perturbations of degenerate scalar viscous shock waves ⋮ Asymptotic stability of rarefaction wave for the Navier-Stokes equations for a compressible fluid in the half-space ⋮ Asymptotic stability of critical viscous shock waves for a degenerate hyperbolic viscous conservation laws¹ ⋮ Nonlinear stability of rarefaction waves for a hyperbolic system with Cattaneo's law ⋮ Convergence rates to travelling waves for a nonconvex relaxation model ⋮ Nonlinear Stability of Large Amplitude Viscous Shock Waves to the One-dimensional System of Viscoelasticity

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